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149195376 = 243211131719
BaseRepresentation
bin10001110010010…
…00101001110000
3101101201220120200
420321020221300
5301143223001
622445435200
73461065641
oct1071105160
9341656520
10149195376
1177242770
1241b6bb00
1324ba98b5
1415b596c8
15d171086
hex8e48a70

149195376 has 120 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 44803200.

The previous prime is 149195363. The next prime is 149195377. The reversal of 149195376 is 673591941.

149195376 is a `hidden beast` number, since 1 + 491 + 95 + 3 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149195377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207145 + ... + 207863.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2149195376 is an apocalyptic number.

149195376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149195376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

149195376 is an abundant number, since it is smaller than the sum of its proper divisors (310418064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149195376 is a wasteful number, since it uses less digits than its factorization.

149195376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 149195376 is about 12214.5559067860. Note that the first 3 decimals coincide. The cubic root of 149195376 is about 530.3775356810.

The spelling of 149195376 in words is "one hundred forty-nine million, one hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 131 132 144 176 198 262 264 393 396 524 528 719 786 792 1048 1179 1438 1441 1572 1584 2096 2157 2358 2876 2882 3144 4314 4323 4716 5752 5764 6288 6471 7909 8628 8646 9432 11504 11528 12942 12969 15818 17256 17292 18864 23056 23727 25884 25938 31636 34512 34584 47454 51768 51876 63272 69168 71181 94189 94908 103536 103752 126544 142362 188378 189816 207504 282567 284724 376756 379632 565134 569448 753512 847701 1036079 1130268 1138896 1507024 1695402 2072158 2260536 3108237 3390804 4144316 4521072 6216474 6781608 8288632 9324711 12432948 13563216 16577264 18649422 24865896 37298844 49731792 74597688 149195376